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Your search keyword '"35B10, 35B20, 35B30, 35Q85, 85A05"' showing total 2 results
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2 results on '"35B10, 35B20, 35B30, 35Q85, 85A05"'

1. Oscillating solutions of the Vlasov-Poisson system -- A numerical investigation

Author

Ramming, Tobias and Rein, Gerhard

Subjects
Mathematical Physics, Astrophysics - Astrophysics of Galaxies, General Relativity and Quantum Cosmology, 35B10, 35B20, 35B30, 35Q85, 85A05
Abstract

Numerical evidence is given that spherically symmetric perturbations of stable spherically symmetric steady states of the gravitational Vlasov-Poisson system lead to solutions which oscillate in time. The oscillations can be periodic in time or damped. Along one-parameter families of polytropic steady states we establish an Eddington-Ritter type relation which relates the period of the oscillation to the central density of the steady state. The numerically obtained periods are used to estimate possible periods for typical elliptical galaxies., Comment: 20 pages

Published
2016
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2. Oscillating solutions of the Vlasov–Poisson system—A numerical investigation

Author

Tobias Ramming and Gerhard Rein

Subjects
Physics, Steady state (electronics), 010308 nuclear & particles physics, Oscillation, 010102 general mathematics, FOS: Physical sciences, Statistical and Nonlinear Physics, Mathematical Physics (math-ph), General Relativity and Quantum Cosmology (gr-qc), Polytropic process, Condensed Matter Physics, Astrophysics - Astrophysics of Galaxies, 01 natural sciences, General Relativity and Quantum Cosmology, Gravitation, Classical mechanics, Astrophysics of Galaxies (astro-ph.GA), 35B10, 35B20, 35B30, 35Q85, 85A05, 0103 physical sciences, Elliptical galaxy, 0101 mathematics, Poisson system, Mathematical Physics
Abstract

Numerical evidence is given that spherically symmetric perturbations of stable spherically symmetric steady states of the gravitational Vlasov-Poisson system lead to solutions which oscillate in time. The oscillations can be periodic in time or damped. Along one-parameter families of polytropic steady states we establish an Eddington-Ritter type relation which relates the period of the oscillation to the central density of the steady state. The numerically obtained periods are used to estimate possible periods for typical elliptical galaxies., Comment: 20 pages

Published
2018
Full Text
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